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Equivalence of weak formulations of the steady water wave equations
journal contributionposted on 2023-06-08, 00:09 authored by Eugen Varvaruca, Arghir Zarnescu
We prove the equivalence of three weak formulations of the steady water waves equations, namely: the velocity formulation, the stream function formulation and the Dubreil-Jacotin formulation, under weak Hölder regularity assumptions on their solutions.
JournalPhilosophical Transactions A: Mathematical, Physical and Engineering Sciences
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